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Finding the Fourth Proportional to 2,148.74, 3,223.06 and 687.86

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Solution

The fourth proportional to 2,148.74, 3,223.06 and 687.86 is: 1,031.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.74 : 3,223.06 = 687.86 : x
  2. Step 2: Convert to fraction form
    2,148.74/3,223.06 = 687.86/x
  3. Step 3: Cross multiply
    2,148.74x = 3,223.06 × 687.86
  4. Step 4: Simplify right side
    2,148.74x = 2,217,014.05
  5. Step 5: Solve for x
    x = 2,217,014.05/2,148.74
  6. Step 6: Final answer
    x = 1,031.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.